Generalized root systems and the affine Lie superalgebra \(\mathrm {G}^{(1)}(3)\)

DOI10.1007/s40863-015-0021-5zbMath1418.17055OpenAlexW1707712487WikidataQ108388275 ScholiaQ108388275MaRDI QIDQ332605

Hiroyuki Yamane

Publication date: 8 November 2016

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-015-0021-5

zbMATH Keywords

affine Lie superalgebrasgeneralized root systemsWeyl groupoids

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Root systems (17B22)

Related Items (2)

Centers of generalized quantum groups ⋮ Typical irreducible characters of generalized quantum groups

Cites Work

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• Weyl groupoids with at most three objects.
• Universal R-matrices for quantum groups associated to simple Lie superalgebras
• A Serre type theorem for affine Lie superalgebras and their quantized enveloping superalgebras
• Quantized enveloping algebras associated with simple Lie superalgebras and their universal \(R\)-matrices
• On defining relations of affine Lie superalgebras and affine quantized universal enveloping superalgebras
• Classification of finite-dimensional irreducible representations of generalized quantum groups via Weyl groupoids
• A generalization of Coxeter groups, root systems, and Matsumoto's theorem.
• Lie superalgebras

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